Gerstenhaber brackets on Hochschild cohomology of general twisted tensor products
Tekin Karadag, Dustin McPhate, Pablo S. Ocal, Tolulope Oke, Sarah, Witherspoon
TL;DR
This paper introduces new techniques for computing Gerstenhaber brackets on Hochschild cohomology of twisted tensor product algebras, utilizing twisted tensor product resolutions and recent theoretical advances.
Contribution
It provides a novel method for calculating Gerstenhaber brackets on Hochschild cohomology of twisted tensor products using specialized resolutions.
Findings
Developed techniques for computing brackets on Hochschild cohomology
Applied recent results to arbitrary bimodule resolutions
Enhanced understanding of algebraic structures in twisted tensor products
Abstract
We present techniques for computing Gerstenhaber brackets on Hochschild cohomology of general twisted tensor product algebras. These techniques involve twisted tensor product resolutions and are based on recent results on Gerstenhaber brackets expressed on arbitrary bimodule resolutions.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology